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Finding the Fourth Proportional to 5,271.50, 7,908.60 and 3,808.10

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Solution

The fourth proportional to 5,271.50, 7,908.60 and 3,808.10 is: 5,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.50 : 7,908.60 = 3,808.10 : x
  2. Step 2: Convert to fraction form
    5,271.50/7,908.60 = 3,808.10/x
  3. Step 3: Cross multiply
    5,271.50x = 7,908.60 × 3,808.10
  4. Step 4: Simplify right side
    5,271.50x = 30,116,739.66
  5. Step 5: Solve for x
    x = 30,116,739.66/5,271.50
  6. Step 6: Final answer
    x = 5,713.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.